Sharedwww / ono / apmod_run28.gpOpen in CoCalc
Author: William A. Stein
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\\apmod_run28.gp
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\\Compute Hecke eigenvalues for a basis of newforms of
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\\S_k(Gamma_0(N); Fp). This is really computed using modular symbols
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\\so in some special cases the computation may fail, e.g., maybe, if p divides
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\\the discriminant of the Hecke algebra.
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\\It is also possible, but very unlikely if p>3, that the dimension
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\\of the modp reduction will go up because of "spurious torsion."
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\\ Notation: This table is destined to be input into PARI.
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\\ Unfortunately, PARI doesn't support n-dimensional arrays.
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\\ Thus for now the output format is
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\\ apmod_k7p13[N,i] = [g(x), [a2(x), a3(x), a5(x), ...]].
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\\ where k=7,p=13 are examples,
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\\ i is the conjugacy class (in no particular order),
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\\ g(x) is an irreducible poly over Fp, and the Hecke eigenvalues a2, a3, ...
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\\ are expressed as polynomials in a fixed root of g(x).
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\\ William Stein ([email protected])
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\\ Fri May 21 23:22:38 1999
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